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Finding the Fourth Proportional to 2,278, 3,413.83 and 1,722.25

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Solution

The fourth proportional to 2,278, 3,413.83 and 1,722.25 is: 2,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 3,413.83 = 1,722.25 : x
  2. Step 2: Convert to fraction form
    2,278/3,413.83 = 1,722.25/x
  3. Step 3: Cross multiply
    2,278x = 3,413.83 × 1,722.25
  4. Step 4: Simplify right side
    2,278x = 5,879,460.11
  5. Step 5: Solve for x
    x = 5,879,460.11/2,278
  6. Step 6: Final answer
    x = 2,580.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.